MATH 340,
Quiz 6
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Name: (print) _____________________
Each problem is worth 2 points. Show all your work.
1. The number of times that a person contracts a cold is a Poisson random variable with parameter
.X = 5. Suppose a new wonder drug (based on large quantities of vitamin C) has just been
marketed that reduces the Poisson parameter to .X = 3 for 75 percent of the population. For
the other 25 percent of the population, the drug has no appreciable effect. If an individual tries
the drug for a year and has 2 colds in that time, how likely is it that the drug is beneficial for
him or her?
x-
P(x�2 I a)=
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P (X-== � /B -)
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2.- (
b
2. (
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Please turn over...